Question

The low E-string and the high E-string on a guitar are tuned to have fundamental frequencies of 82.4Hz and 329.6Hz, respectively. The difference in the fundamental frequency is primarily due to the different thickness, and therefore different mass per unit length, of the two strings. We could, however, try to design a guitar using the same type of strings for both notes by varying either the length of the string or its tension.

If the mass per unit length and the length were kept the same for both strings, what would be the ratio of the tension in the high E string to the tension in the low E string?